Question: The following data is a regression model where the U.S. Department of Transportation has tried to relate the rate of fatal traffic accidents (per 1000

The following data is a regression model where the U.S. Department of Transportation has tried to relate the rate of fatal traffic accidents (per 1000 licenses) to the percentage of motorists under the age of 21. Data has been collected for 42 major cities in the United States.

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.83938748

R Square

0.70457134

Adjusted R Square

0.69718562

Standard Error

0.58935028

Observations

42

ANOVA

df

SS

MS

F

Regression

1

33.13441764

33.1344

95.3964

Residual

40

13.89335048

0.34733

Total

41

47.02776812

Coefficients

Standard Error

t Stat

P-value

Intercept

-1.5974138

0.371671454

-4.2979

0.00010

Percent

Under 21

0.28705317

0.029389769

9.76711

3.79E-9

  1. What percentage of the variability in fatality rates can be attributed to variations in the percentage of motorists under the age of 21?

  1. If a city had 10% of its motorists under the age of 21, how many fatalities should it expect for every 1000 licenses it issues?

  1. Test the notion that the percentage of motorists under 21 does not impact the fatality rate, against the notion that it does impact the rate, using an a = .01.

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